2478389760 has 720 divisors, whose sum is σ = 10867304448. Its totient is φ = 510935040.

The previous prime is 2478389743. The next prime is 2478389777. The reversal of 2478389760 is 679838742.

It is an interprime number because it is at equal distance from previous prime (2478389743) and next prime (2478389777).

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-2 number, since 2×2478389760² = 12284831604945715200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2478389697 and 2478389706.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19514817 + ... + 19514943.

Almost surely, 2^2478389760 is an apocalyptic number.

2478389760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2478389760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433652224).

2478389760 is an abundant number, since it is smaller than the sum of its proper divisors (8388914688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2478389760 is a wasteful number, since it uses less digits than its factorization.

2478389760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The square root of 2478389760 is about 49783.4285681491. The cubic root of 2478389760 is about 1353.2868715529.

The spelling of 2478389760 in words is "two billion, four hundred seventy-eight million, three hundred eighty-nine thousand, seven hundred sixty".